The authors describe their approach to teaching a course on finite fields and combinatorial applications, including block designs and error-correcting codes, using a hybrid of lectures and active learning. Under the discussed classroom model, there are two lecture days and two discovery-based discussion days each week. Discussions center around…

This study explores the inclusion of the visual arts in mathematics instruction as a means of piquing students' interest in a topic that is frequently regarded as difficult. We evaluate numerous research that have been undertaken in this situation by completing an extensive literature study. Our findings show that the inclusion of visual arts in…

This paper reports on a key representation, a triple number line, designed as part of the first author's doctoral study. The study sought ways to represent multiple constructs of fractions in the context of merging music and mathematics to support learners' understanding of fractions. A problem scenario was designed guided by Realistic Mathematics…

This study highlighted factors informing instructors' instructional beliefs and practices and the activities that help students engage in and develop a deep understanding of mathematics. The study also described instructors' instructional activities and curricular practices when teaching mathematics and an interdisciplinary curriculum that…

In an increasingly data-driven society, making decisions with data is a requirement not only for research scientists but also for navigating life more generally (Kjelvik & Schultheis, 2019). An informed citizenry must be prepared to discover patterns, predict outcomes, make decisions with data, and evaluate data-based claims for legitimacy and…

Kindergartners' math skills predict later academic outcomes. However, we know little about kindergarten mathematics instruction. Using data from 182 classroom observations in a large urban district, we explore time spent on mathematics and math content coverage. We also examine two underinvestigated aspects of kindergarten math instruction: (1)…

Climate change is a complex issue that requires collective actions from various disciplines, including educating future generations about sustainability. Some countries such as Indonesia and Australia have included sustainability into their school curricula, which require teachers to design and implement tasks related to a sustainability issue.…

Middle school math students are underperforming on teacher-created assessments and assignments, state assessments, and nationally normed assessments, such as the Measures of Academic Performance (MAP) and the National Assessment of Education Progress (NAEP). Only 35.7% of sixth graders in South Carolina scored "meets or exceeds…

A new course development is intended for students to investigate the intersection of mathematics with seemingly disparate areas of art, music, architecture, and nature. The course is designed to allow students to explore the hidden connections between the aesthetic pleasures of art, music and nature and that of mathematical foundations and how the…

Too often, mathematics and science are taught in isolation from each other and from meaningful problems that matter to students. This book draws on the authors' experiences with teacher colleagues, including time spent in their classrooms co-developing and refining lessons. The core of their approach is to encourage learners to pursue solutions to…

This study posits mathematics as a fundamental methodological framework for navigating the complexities of multidisciplinary research. It argues that the increasing prevalence of real-world problems demands the integration of knowledge from diverse scientific fields, where mathematics, particularly through the method of analysis and synthesis,…

In this paper, we present a novel approach to defining, teaching, and assessing creativity by examining its origins and delineating the processes involved. The rationale for introducing this framework developed from studying existing thinking and questioning the current metrics for measuring creativity, which we posit are unfit for purpose. We…

This book is about scientific inquiry. Designed for early and mid-career researchers, it is a practical manual for conducting and communicating high-quality research in (mathematics) education. Based on the authors' extensive experience as researchers, as mentors, and as members of the editorial team for the Journal for Research in Mathematics…

This book focuses on the potential contributions of Artificial Intelligence (AI) for enhancing mathematics education. It includes rationales for an AI-oriented pedagogical model, such as interdisciplinarity and even sensitivity to crucial world issues, such as climate change. The chapters in this book highlight what the new age of mathematics…

Cornell University has long offered a Calculus for Life Sciences course. In this case study, we report on how a team of pure mathematicians has modernized both the content and teaching methods of this course. The content went from a standard calculus course with few genuine applications in the life sciences to a course focusing on dynamical…